Growth Spurt 3.5

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean if a function has a domain of 'All Real Numbers'?

Back

It means that the function can accept any real number as an input.

Front

What is an exponential growth function?

Back

An exponential growth function is a mathematical function of the form y = a * b^x, where b > 1, indicating that the value of y increases rapidly as x increases.

Front

What is an exponential decay function?

Back

An exponential decay function is a mathematical function of the form y = a * b^x, where 0 < b < 1, indicating that the value of y decreases rapidly as x increases.

Front

What is the growth factor in an exponential function?

Back

The growth factor is the base 'b' in the function y = a * b^x, which determines how much the function grows for each unit increase in x.

Front

What is the decay factor in an exponential function?

Back

The decay factor is the base 'b' in the function y = a * b^x, where 0 < b < 1, which determines how much the function decreases for each unit increase in x.

Front

How do you identify an exponential growth graph?

Back

An exponential growth graph rises steeply to the right, showing that as x increases, y increases rapidly.

Front

How do you identify an exponential decay graph?

Back

An exponential decay graph falls steeply to the right, showing that as x increases, y decreases rapidly.

Front

What is the significance of the y-intercept in an exponential function?

Back

The y-intercept is the value of y when x = 0, and it represents the initial value of the function.